Question
5r^2+r−2=0 quadratic formula
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Answered by
GPT 3.5
To solve the quadratic equation 5r^2 + r - 2 = 0 using the quadratic formula, we first need to identify the coefficients of the terms in the equation:
a = 5
b = 1
c = -2
Then, we can substitute these values into the quadratic formula:
r = (-b ± √(b^2 - 4ac)) / 2a
Plugging in the values of a, b, and c, we get:
r = (-(1) ± √((1)^2 - 4(5)(-2))) / 2(5)
r = (-1 ± √(1 + 40)) / 10
r = (-1 ± √41) / 10
Therefore, the solutions to the quadratic equation 5r^2 + r - 2 = 0 are:
r = (-1 + √41) / 10
r = (-1 - √41) / 10
a = 5
b = 1
c = -2
Then, we can substitute these values into the quadratic formula:
r = (-b ± √(b^2 - 4ac)) / 2a
Plugging in the values of a, b, and c, we get:
r = (-(1) ± √((1)^2 - 4(5)(-2))) / 2(5)
r = (-1 ± √(1 + 40)) / 10
r = (-1 ± √41) / 10
Therefore, the solutions to the quadratic equation 5r^2 + r - 2 = 0 are:
r = (-1 + √41) / 10
r = (-1 - √41) / 10
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